A local radial basis function collocation method for band structure computation of 3D phononic crystals

H Zheng, Ch Zhang, James Yang

Research output: Contribution to journalArticle

Abstract

In this paper, we further extend the local radial basis function collocation method (LRBFCM) for efficient computation of band structures of phononic crystals from 2D to 3D. The proposed LRBFCM uses one fictitious node to tackle instability problems caused by calculation of derivatives of the wave pressure. A few examples of sound pressure wave propagation are modelled to validate the developed method. Comparisons with finite element modelling demonstrate the high stability and efficiency of the new method in computation of band structures of 3D phononic crystals.
Original languageEnglish
Pages (from-to)(In-press)
Number of pages16
JournalApplied Mathematical Modelling
Volume(In-press)
Early online date11 Sep 2019
DOIs
Publication statusE-pub ahead of print - 11 Sep 2019

Fingerprint

Band Structure
Collocation Method
Radial Functions
Band structure
Basis Functions
Crystal
Crystals
Finite Element Modeling
Wave Propagation
Derivative
Wave propagation
Vertex of a graph
Acoustic waves
Demonstrate
Derivatives
Sound

Keywords

  • Phononic crystals
  • Interface conditions
  • Wave propagation
  • band structures
  • Eigenvalue Problems
  • Radial basis functions

Cite this

A local radial basis function collocation method for band structure computation of 3D phononic crystals. / Zheng, H; Zhang, Ch; Yang, James.

In: Applied Mathematical Modelling, Vol. (In-press), 11.09.2019, p. (In-press).

Research output: Contribution to journalArticle

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